Recall that tropical polynomials are piecewise linear, so the notion of linear regions applies. A linear region of a tropical polynomial \(f\)  is a maximal connected subset of the domain on which \(f\)  is linear. The number of linear regions of \(f\)  is denoted by \(\mathcal {N}(f)\) . In [1]}, the authors use this notion to provide bounds on the number of positive and negative regions the neural network divides the input space.
